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Popular >

simplify (sqrt(x))^3*x

Solution

simplify

(x)^{3} \cdot x

Solution

x^{5}

Solution steps

(x)^{3} x

Simplify

(x)^{3} : x^{\frac{3}{2}}

= x^{\frac{3}{2}} x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{3}{2}} x = x^{\frac{3}{2} + 1}

= x^{\frac{3}{2} + 1}

\frac{3}{2} + 1 = \frac{5}{2}

= x^{\frac{5}{2}}

x^{\frac{5}{2}} = x^{5}

= x^{5}

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Frequently Asked Questions (FAQ)

What is (sqrt(x))^3*x ?
The solution to (sqrt(x))^3*x is sqrt(x^5)